No, you are not too young to have a massage. You can go to a professional massage therapist, a credible massage clinic or go to a spa.
If in doubt, you can first go to a chiropractor or your family physician. But generally, it's good to start at a young age.
To get a glimpse of what massage therapy would suit you best, you can visit this blog article:
http://yunesa.blogspot.com/2009/02/basics-of-massage-therapy-massage.html
Hope this helps.